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Finding the Fourth Proportional to 71,720, 98,973.60 and 41,912

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Solution

The fourth proportional to 71,720, 98,973.60 and 41,912 is: 57,838.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,720 : 98,973.60 = 41,912 : x
  2. Step 2: Convert to fraction form
    71,720/98,973.60 = 41,912/x
  3. Step 3: Cross multiply
    71,720x = 98,973.60 × 41,912
  4. Step 4: Simplify right side
    71,720x = 4,148,181,523.20
  5. Step 5: Solve for x
    x = 4,148,181,523.20/71,720
  6. Step 6: Final answer
    x = 57,838.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.